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Finding the Fourth Proportional to 11,097.96, 16,658.38 and 8,659.48

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Solution

The fourth proportional to 11,097.96, 16,658.38 and 8,659.48 is: 12,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.96 : 16,658.38 = 8,659.48 : x
  2. Step 2: Convert to fraction form
    11,097.96/16,658.38 = 8,659.48/x
  3. Step 3: Cross multiply
    11,097.96x = 16,658.38 × 8,659.48
  4. Step 4: Simplify right side
    11,097.96x = 144,252,908.44
  5. Step 5: Solve for x
    x = 144,252,908.44/11,097.96
  6. Step 6: Final answer
    x = 12,998.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.